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Classification of overlayer precipitates by novel hierarchical systems-superfractals

Bąk Z.

Prace Naukowe. Chemia i Ochrona Środowiska / Akademia im. Jana Długosza w Częstochowie

2005

Vol. 10

25--31

The formalism introduced allows a new insight into the symmetry hidden in the mathematical formulation of fractals. We prove that application of the logarithmic scales uncovers hidden relation between fractals and crystals and prove that this symmetry can be classified according to symmetry groups of conventional crystallography. The latter result allows us to introduce the concept of superfractals, which generalizes the idea of conventional fractals. We show that idea of superfractals offers a new tool for characterization of surface precipitates.